407164401 has 40 divisors (see below), whose sum is σ = 697122624. Its totient is φ = 231996960.

The previous prime is 407164397. The next prime is 407164421. The reversal of 407164401 is 104461704.

It is not a de Polignac number, because 407164401 - 2² = 407164397 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (407164421) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 250371 + ... + 251991.

Almost surely, 2^407164401 is an apocalyptic number.

It is an amenable number.

407164401 is a deficient number, since it is larger than the sum of its proper divisors (289958223).

407164401 is a wasteful number, since it uses less digits than its factorization.

407164401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2083 (or 2074 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 407164401 is about 20178.3151179676. The cubic root of 407164401 is about 741.1792744292.

The spelling of 407164401 in words is "four hundred seven million, one hundred sixty-four thousand, four hundred one".